Perpendicular Lines
Akopọ
Two lines are perpendicular when they meet at a right angle, and in coordinate geometry this gives a beautifully simple rule: their gradients multiply to give \(-1\). Knowing this lets you find the equation of a line at right angles to any given line.
In this lesson (Extended tier) you will find the gradient and equation of a straight line perpendicular to a given line, using the rule that perpendicular gradients multiply to \(-1\).
Awọn Afojusun
- Find the gradient and equation of a straight line perpendicular to a given line.
Akọ̀wé Ẹ̀kọ́
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
Ìdánwò Ẹ̀kọ́
Oriire fun ipari ẹkọ lori Perpendicular Lines. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.
Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.
Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.
- What is true of the gradients of two perpendicular lines? A. They are equal B. They add to 0 C. They multiply to -1 D. One is always 0 Answer: C
- A line has gradient 2. The gradient of a perpendicular line is: A. 2 B. -2 C. 1/2 D. -1/2 Answer: D
- A line has gradient -3. The gradient of a perpendicular line is: A. 3 B. 1/3 C. -1/3 D. -3 Answer: B
- The line perpendicular to y = 2x + 1 through (0, 3) is: A. y = 2x + 3 B. y = -1/2 x + 3 C. y = -2x + 3 D. y = 1/2 x + 3 Answer: B
- The perpendicular gradient is found by taking the: A. same value B. negative C. reciprocal D. negative reciprocal Answer: D
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
Awọn Iwe Itọsọna Ti a Gba Nimọran
Ṣe Adaṣe Awọn Ibeere Idanwo Adaṣe
Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Perpendicular Lines? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.
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